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olya-2409 [2.1K]
1 year ago
5

What is the slope of (2,-1) and (8,4)

Mathematics
1 answer:
qaws [65]1 year ago
5 0

Answer:

5/6

Step-by-step explanation:

slope = 4-(-1)/8-2 = 5/6

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34

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Read 2 more answers
Use vieta's theorem to solve the problems.
Mnenie [13.5K]

Using Vieta's Theorem, it is found that c = 72.

<h3>What is the Vieta Theorem?</h3>
  • Suppose we have a quadratic equation, in the following format:

y = ax^2 + bx + c

  • The roots are p and q.

The Theorem states that:

p + q = -\frac{b}{a}

pq = \frac{c}{a}

In this problem, the polynomial is:

x^2 - 17x + c

Hence the coefficients are a = 1, b = -17.

Since the difference of the solutions is 1, we have that:

p - q = 1

p = 1 + q

Then, from the first equation of the Theorem:

p + q = -\frac{b}{a}

1 + q + q = 17

2q = 16

q = 8

p = 1 + q = 9

Now, from the second equation:

pq = \frac{c}{a}

72 = c

c = 72

To learn more about Vieta's Theorem, you can take a look at brainly.com/question/23509978

6 0
2 years ago
Please help me answer these thank you
ANEK [815]
It wouldn't play or else i would help

3 0
3 years ago
One angle of a triangle is 30° more than the smallest angle. The largest angle is the sum of the other angles. Find the measures
vladimir1956 [14]

Answer: \boxed{30^{\circ}, 60^{\circ}, 90^{\circ}}

Step-by-step explanation:

Let the smallest angle be x.

Then, the middle angle is x+30.

The largest angle is 2x+30.

Angles in a triangle add to 180 degrees, so:

x+x+30+2x+30=180\\\\4x+60=180\\\\4x=120\\\\x=30

So, the angles measure \boxed{30^{\circ}, 60^{\circ}, 90^{\circ}}

6 0
2 years ago
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